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Unformatted text preview: db dt = 2 h ‡ 5-2 A h · cms/min . Consequently, at the moment when h = 5 and A = 25 , the base length is changing at a speed = 2 cms/min . keywords: speed, related rates 019 (part 1 of 1) 10 points A 15 foot ladder is leaning against a wall. If the foot of the ladder is sliding away from the wall at a rate of 6 ft/sec, at what speed is the top of the ladder falling when the foot of the ladder is 12 feet away from the base of the wall? 1. speed = 23 3 ft/sec 2. speed = 22 3 ft/sec 3. speed = 8 ft/sec correct 4. speed = 7 ft/sec 5. speed = 20 3 ft/sec Explanation: Let y be the height of the ladder when the foot of the ladder is x feet from the base of the wall as shown in Fgure...
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This note was uploaded on 02/14/2012 for the course MATH 408 K taught by Professor Clark,c.w./hoy,r.r during the Spring '08 term at University of Texas.
- Spring '08